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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Also, we discuss some fixed point results in relation to existing ones.
📌 3 Key Takeaways
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Objective & Hypothesis:We introduce the concept of $b$-$\theta$-metric space as a generalization of $\theta$-metric space and investigate some of its properties.
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Key Findings & Data:Then, we establish a fixed point theorem in $b$-$\theta$-metric spaces via $b$-simulation functions.
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Conclusion & Impact:Also, we discuss some fixed point results in relation to existing ones.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:b-metric · b-simulation function · $\theta$-metric
Abstract
We introduce the concept of $b$-$\theta$-metric space as a generalization of $\theta$-metric space and investigate some of its properties. Then, we establish a fixed point theorem in $b$-$\theta$-metric spaces via $b$-simulation functions. Thus, we deduce Banach type fixed point in such spaces. Also, we discuss some fixed point results in relation to existing ones.
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Cite This Article
Yıldırım, E. D., Güler, A. Ç., Özbakır, O. B. (2021). Some Fixed Point Theorems on $b$-$\theta$-metric spaces via $b$-simulation Functions. Fundamental Journal of Mathematics and Applications, Volume: 4 Issue: 3. https://doi.org/10.33401/fujma.890533